21026626830400 has 567 divisors, whose sum is σ = 55333548887799. Its totient is φ = 7863841413120.

The previous prime is 21026626830343. The next prime is 21026626830401. The reversal of 21026626830400 is 403862662012.

The square root of 21026626830400 is 4585480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 289022361664 + 20737604468736 = 537608^2 + 4553856^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (21026626830401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 313830251167 + ... + 313830251233.

Almost surely, 2^{21026626830400} is an apocalyptic number.

21026626830400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21026626830400 is the 4585480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21026626830400

21026626830400 is an abundant number, since it is smaller than the sum of its proper divisors (34306922057399).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21026626830400 is an frugal number, since it uses more digits than its factorization.

21026626830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 21026626830400 in words is "twenty-one trillion, twenty-six billion, six hundred twenty-six million, eight hundred thirty thousand, four hundred".